Absence of nontrivial local conserved quantities in the quantum compass model on the square lattice

• URL: http://arxiv.org/abs/2502.10791v1
• Date: Sat, 15 Feb 2025 13:23:38 GMT
• Title: Absence of nontrivial local conserved quantities in the quantum compass model on the square lattice
• Authors: Mahiro Futami, Hal Tasaki,
• Abstract summary: We prove that the quantum compass model on the square lattice does not possess any local conserved quantities except for the Hamiltonian itself. By extending the method developed by Shiraishi, we prove that the quantum compass model on the square lattice does not possess any local conserved quantities except for the Hamiltonian itself.
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• Abstract: By extending the method developed by Shiraishi, we prove that the quantum compass model on the square lattice does not possess any local conserved quantities except for the Hamiltonian itself.

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